| Description |
1 online resource |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
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text file |
| Series |
Monograph series on nonlinear science and complexity ; 5 |
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Monograph series on nonlinear science and complexity ; 5.
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| Summary |
The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems. Presents comprehensive theory and methodology of stability analysis Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers. |
| Contents |
Preface -- Chapter 1. Fundamental Concepts and Mathematical Tools -- Chapter 2. Linear Systems with Constant Coefficients -- Chapter 3. Time-Varying Linear Systems -- Chapter 4. Lyapunov Direct Method -- Chapter 5. Development of Lyapunov Direct Method -- Chapter 6. Nonlinear Systems with Separate Variables -- Chapter 7. Iteration Method for Stability -- Chapter 8. Dynamical Systems with Time Delay -- Chapter 9. Absolute Stability of Nonlinear Control Systems -- Chapter 10. Stability of Neural Networks -- Chapter 11. Limit Cycle, Normal Form and Hopf Bifurcation Control. |
| Bibliography |
Includes bibliographical references and index. |
| Note |
Print version record. |
| Subject |
Stability.
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Stabilité.
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stability.
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MATHEMATICS -- Differential Equations -- General.
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Stability
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Dynamisches System
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Ljapunov-Stabilitätstheorie
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| Added Author |
Wang, Liqiu.
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Yu, Pei, 1947-
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| Other Form: |
Print version: Liao, Xiaoxin. Stability of dynamical systems. Amsterdam ; Oxford : Elsevier, 2007 9780444531100 0444531106 (OCoLC)141386389 |
| ISBN |
9780444531100 |
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0444531106 |
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9780080550619 (electronic bk.) |
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0080550614 (electronic bk.) |
| Standard No. |
AU@ 000047155817 |
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AU@ 000048129965 |
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AU@ 000050767601 |
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AU@ 000061111052 |
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CHDSB 005986162 |
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CHDSB 005988995 |
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DEBBG BV042307204 |
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DEBSZ 305936069 |
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DEBSZ 38098590X |
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DEBSZ 482354194 |
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NZ1 11778366 |
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NZ1 15190288 |
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UKMGB 017852884 |
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AU@ 000075311610 |
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